Block designs and graph imbeddings

DOI10.1016/0095-8956(78)90036-9zbMath0328.05009OpenAlexW2039191934MaRDI QIDQ1226489

Arthur T. White

Publication date: 1978

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0095-8956(78)90036-9

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Orthogonal arrays, Latin squares, Room squares (05B15) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Coloring of graphs and hypergraphs (05C15)

Related Items (11)

Three nonisomorphic triangulations of an orientable surface with the same complete graph ⋮ Constructions and topological invariants of 2-(v,3,\(\lambda\) ) designs with group actions ⋮ Topological Graph Theory: A Personal Account ⋮ The toroidal thickness of the symmetric quadripartite graph ⋮ Triangulations of orientable surfaces by complete tripartite graphs ⋮ Face 2-colourable triangular embeddings of complete graphs ⋮ Exponential families of non-isomorphic triangulations of complete graphs ⋮ Self-dual embeddings of K_{4m,4n} in different orientable and nonorientable pseudosurfaces with the same Euler characteristic ⋮ Topological invariants of 2-designs arising from difference families ⋮ On automorphism groups of certain 2-(v,3,2) designs induced by group actions ⋮ Isomorphic designs that are not multiplier equivalent

Cites Work

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• Solution of the Heawood map-coloring problem—case 11
• The genus of the complete tripartite graph Kmn,n,n

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